Details

Time bar (total: 11.2s)

sample42.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04917
112017
231117
367717
4142517
5273317
6500117

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
0.0b
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

rewrite819.0ms

Algorithm
rewrite-expression-head
Rules
180×*-un-lft-identity
81×times-frac
66×add-sqr-sqrt
50×add-cube-cbrt
48×distribute-lft-out--
38×distribute-lft-out
37×distribute-rgt-neg-in
31×exp-prod
28×distribute-lft-neg-in
18×associate-/l*
9×add-log-exp
8×difference-of-squares
6×add-exp-log fma-def add-cbrt-cube
4×pow1 expm1-log1p-u neg-mul-1 div-sub log1p-expm1-u
3×exp-diff associate-/r*
2×+-commutative neg-sub0 flip3-+ sum-log flip-+ div-inv associate-/l/ distribute-neg-frac
1×cbrt-undiv associate-+r- flip3-- frac-2neg distribute-frac-neg div-exp unsub-neg clear-num flip-- rem-exp-log
Counts
4 → 171
Calls
4 calls:
120.0ms
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
240.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
274.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
176.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series257.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
68.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
56.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
62.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify51.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
05311438
115491385
250011372

prune761.0ms

Filtered
183 candidates to 116 candidates (63.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
0.0b
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b
(pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

rewrite593.0ms

Algorithm
rewrite-expression-head
Rules
195×*-un-lft-identity
93×times-frac
75×add-sqr-sqrt
59×add-cube-cbrt
48×distribute-lft-out--
41×distribute-lft-out
37×distribute-rgt-neg-in
31×pow-unpow
28×distribute-lft-neg-in
21×associate-/l*
9×add-exp-log
8×add-cbrt-cube difference-of-squares
7×associate-/r*
6×add-log-exp
5×pow1
4×expm1-log1p-u neg-mul-1 div-sub log1p-expm1-u
3×unpow-prod-down fma-def div-inv pow-sub
2×cbrt-undiv neg-sub0 frac-2neg flip3-+ div-exp pow-exp clear-num associate-/r/ flip-+ associate-/l/ distribute-neg-frac
1×+-commutative pow-to-exp associate-+r- e-exp-1 flip3-- pow-pow distribute-frac-neg unsub-neg sum-log flip-- sqr-pow
Counts
4 → 196
Calls
4 calls:
9.0ms
(/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
240.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
276.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
59.0ms
(pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series354.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
69.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
55.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
70.0ms
(pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify65.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
07091819
123281747
250021735

prune1.0s

Filtered
208 candidates to 130 candidates (62.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.1b
(expm1 (log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
0.3b
(log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))

rewrite457.0ms

Algorithm
rewrite-expression-head
Rules
174×*-un-lft-identity
81×times-frac
64×add-sqr-sqrt
48×add-cube-cbrt distribute-lft-out--
37×distribute-rgt-neg-in
36×distribute-lft-out
31×exp-prod
28×distribute-lft-neg-in
18×associate-/l*
8×difference-of-squares
6×add-exp-log add-cbrt-cube
5×expm1-log1p-u add-log-exp
4×pow1 neg-mul-1 div-sub log1p-expm1-u
3×exp-diff associate-/r*
2×neg-sub0 div-inv associate-/l/ distribute-neg-frac
1×cbrt-undiv associate-+r- log1p-udef expm1-log1p flip3-- frac-2neg log1p-expm1 distribute-frac-neg div-exp unsub-neg clear-num flip-- rem-exp-log expm1-udef
Counts
4 → 159
Calls
4 calls:
275.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
173.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.0ms
(expm1 (log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
0.0ms
(log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))

series320.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
58.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
92.0ms
(expm1 (log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
111.0ms
(log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))

simplify90.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
04421335
113011271
243301256
350011253

prune712.0ms

Filtered
171 candidates to 104 candidates (60.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (pow E (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
0.0b
(pow E (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
6.6b
(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
6.6b
(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
277×*-un-lft-identity
144×distribute-lft-out
124×sqrt-prod
110×times-frac
68×pow-unpow
67×add-sqr-sqrt
61×add-cube-cbrt
36×distribute-rgt-neg-in
13×unpow-prod-down
8×pow-exp
7×pow1 add-exp-log
4×expm1-log1p-u rem-sqrt-square add-cbrt-cube log1p-expm1-u div-inv add-log-exp
3×pow-to-exp sqr-pow
2×e-exp-1 pow-pow sqrt-pow1 pow1/2 sqrt-div
Counts
4 → 198
Calls
4 calls:
45.0ms
(pow (pow E (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
43.0ms
(pow E (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
78.0ms
(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
78.0ms
(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series3.2s

Counts
4 → 12
Calls
4 calls:
2.4s
(pow (pow E (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
561.0ms
(pow E (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
131.0ms
(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
140.0ms
(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify99.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
03292147
19462020
234521990
350011983

prune744.0ms

Filtered
210 candidates to 102 candidates (48.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes261.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03719
13719

end0.0ms

sample908.0ms

Algorithm
intervals
Results
535.0ms8000×body80valid